Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models.
The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.
Series: CISM International Centre for Mechanical Sciences
Number Of Pages: 361
Published: 12th May 2010
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 23.5 x 15.5 x 2.54
Weight (kg): 0.88